1. 1 You are a Weight Watchers dieter, and weigh yourself each week at class. a) What will be the slope of a line showing your weight as time goes forward if you exercise and stick closely to the diet? Positive, Negative, or Flat b) If you cheat, become a couch potato, and eat donuts between meals, what will likely be the slope of a line showing your weight as time goes forward? Positive, Negative or Flat

1. 2 The Conowingo Dam is the southernmost dam on the Susquehanna River, and is a critical flood control project and electric power generator. Water flow through the dam’s turbines and flood control gates is roughly approximated by the following equation:

Discharge (gallons / second) = 1,500 + 350,000 (# of inches of rain received in Harrisburg, PA in the prior 30 days)

a) The lowest recorded discharge flow through the dam occurred in 1969 after a period of drought where there was no rain in the previous 30 days (and almost none the previous 60 days). What was the flow rate through the dam at that time in gallons/second?

b) The highest flow rate through the dam occurred in June 1972 when Hurricane Agnes stalled over Central Pennsylvania and roughly 21 inches of rain few on Harrisburg in the prior 30 days (most of it in 3 days) What was the flow rate through the dam at that time in gallons/second?

1. 3 A 230 pound college professor celebrated his 34th birthday on October 22, drinking Miller Lite until his blood alcohol content is 0.12 g/dl (grams/deciliter), which is above the legal driving limits of 0.08. He stops drinking and goes straight to bed (no driving), during which time his blood alcohol content drops by 0.01 g/dl per hour (typical of a man that size and age).

a) How many hours must he sleep before his blood alcohol limit drops to 0.04, or ½ the legal limit?

b) How long will it take for all of the alcohol to be metabolized and leave his system?

1. 4 A research study was done of the 200,000 households in Chester County. A random sample of 5,000 households was selected and interviewed. Of the 5,000 households, only 3,000 were willing to participate. In this case:

a) What was the response rate (percentage)?

b) What was the non-response rate (percentage)?

1. 5 A survey of Whitney Houston fans yields this 95 percent confidence interval estimate of whether she is the best female pop singer of all time: 0.44 to 0.56.

The estimated mean percentage of fans that think she is the best pop singer is?

1. 6 From polling information back in September, the Election 2012 matchup of President Obama against the Republican candidate Mitt Romney was predicted to yield the following results:

Obama 44% Romney 48%

The 95 percent confidence interval (or so called margin of error) for this poll is +/- 3%.

a) Based on this poll, was it likely that Romney would win or lose in November?

b) The margin between these two pairings was 4% (48 → 44). If it narrowed to 1%, would you draw the same conclusion?

c) Suppose you heard that the poll above was taken from a group that was later found not to be statistically representative of the population as a whole. That is the number of Democrats in the poll was much higher than it should have been. How would this affect your conclusion?

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